Fuzzy Lie Structures Over a Fuzzy Field

Abstract

In this chapter, we present the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. We characterize the Artinian and Noetherian Lie algebras by considering their fuzzy Lie ideals over a fuzzy field. We describe \((\in , \in \vee ~ q_m)\)-fuzzy Lie subalgebras over a fuzzy field. We discuss vague Lie subalgebras over a vague field. We also present anti-fuzzy Lie sub-superalgebras over anti-fuzzy field.